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Finding the Third Proportional to 99,304 and 149,884

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Solution

The third proportional to 99,304 and 149,884 is: 226,226.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,304 : 149,884 = 149,884 : x
  2. Step 2: Convert to fraction form
    99,304/149,884 = 149,884/x
  3. Step 3: Cross multiply
    99,304x = 149,884 × 149,884
  4. Step 4: Simplify right side
    99,304x = 22,465,213,456
  5. Step 5: Solve for x
    x = 22,465,213,456/99,304
  6. Step 6: Final answer
    x = 226,226.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.